固体物理教学中联接正格子和倒格子空间的傅里叶变换过程浅议

在固体物理学课程中,由于涉及到一些高等数学知识,理解联接正格子和倒格子空间的傅里叶变换过程一直是教学难点之一.本文从晶体结构的周期性特征出发,并结合简易的数学推导,对傅里叶变换过程进行了详细的解读,并且对其中的关键步骤给出了凸显物理内涵的解释.     

CeO2的电子结构，光学和晶格动力学性质：第一性原理研究

基于考虑了Ce-4f电子间的库仑作用U和交换作用J的LDA+U方案，应用第一性原理计算系统研究了CeO₂的电子结构，光学和晶格动力学性质.电荷密度和电子局域函数的分布特征表明，CeO₂是属于共价键的绝缘体.介电常数、玻恩有效电荷张量和声子色散曲线的计算值和相应的实验结果符合得比较好. 关键词： 电子结构 光学性质 晶格动力学 第一性原理计算     

Temperature-Dependent Dynamic Properties of LixMn2O4 in Monte Carlo Simulations

Monte Carlo (MC) simulations are used to simulate the voltage profile and the ionic conductivity s of Li ions in LixMn2O4 and its dependence on the lithium concentration x. The open circuit potential shows clearly the two plateaus in the charge/discharge curve, which agrees well with the experimental results. The two plateaus become more and more steep when the temperature is increased. The simulated ionic conductivity shows an M-shaped curve in the plot of ionic conductivity cr versus x when the simulation temperature is low. Interestingly,the minimum valley, which lies at the middle single-phase area near x=0.5, disappears gradually when the temperature increases to 453K.     

LiFePO4中对位缺陷的第一性原理研究

基于考虑了Fe-3d电子间的库仑作用U和交换作用J的GGA+U方案,应用第一性原理计算方法系统研究了LiFePO₄的对位缺陷,以及对位缺陷的形成对材料的电导率和离子扩散速率的影响.结果表明,Li/Fe交换缺陷是最容易形成的,形成缺陷后的Fe—O键变长,扩宽了Li离子传输通道,有利于Li离子在通道中的扩散,对材料电化学性能的改善起到了一定的作用.     

Effect of the stoichiometry on the electronic structure of the Ni（111）/α-Al2O3（0001） interface： a first-principles investigation

In this paper first-principles calculations of Ni（111）/α-Al2O3（0001） interfaces have been performed, and are compared with the preceding results of the Cu （111）/α-Al2O3（0001） interface [2004 Phil. Mag. Left. 84 425]. The AI- terminated and O-terminated interfaces have quite different adhesion mechanisms, which are similar to the Cu（111）/α Al2O3（0001） interface. For the O-terminated interface, the adhesion is caused by the strong O-2p/Ni-3d orbital hybridization and ionic interactions. On the other hand, the adhesion nature of the Al-terminated interface is the image-like electrostatic and Ni-Al hybridization interactions, the latter is substantial and cannot be neglected. Charge transfer occurs from Al2O3 to Ni, which is opposite to that in the O=terminated interface. The charge transfer direction for the Al-terminated and O-terminated Ni（111）/α-A1203（0001） interfaces is similar to that in the corresponding Cu（111）/α- Al2O3（0001） interface, but there exist the larger charge transfer quantity and consequent stronger adhesion nature, respectively.     

First Principles Study on NaxLi1-xFePO4 As Cathode Material for Rechargeable Lithium Batteries

The electronic structure and ionic dynamic properties of pure and Na doped （Li site） LiFePO4 have been investigated by first-principles calculations. The band gap of the Na doped material is much narrow than that of the undoped one, indicating of better electronic conductive properties. First-principles based molecular dynamic simulations have been performed to examine the migration energy barriers for the Li ion diffusion. The results shown that the energy barriers for Li diffusion decreased a little along the one-dimensional diffusion pathway, indicating that the ionic conductive property is also improved, as compared with the high valance doping （such as CF） cases.     

纳米LiMnPO_4的制备与电化学性能表征

采用两步加热Polyol法制备了纳米LiMnPO4正极材料,详细研究了第一加热平台温度T1(T1=100,110,120,130,140,150°C)对样品物理性质及电化学性能的影响.通过X射线衍射(XRD)、扫描电镜(SEM)及比表面积测试(BET)对样品的晶体结构与微观形貌进行了表征.结果表明,在不同温度T1下得到的样品均为片状结构;T1=100-120°C时合成的样品含有杂相,且比表面积小于15 m2?g-1;在T1=130°C时,得到纯相LiMnPO4样品,且比表面积增至46.3 m2?g-1;随着T1的进一步升高,样品比表面积稍有下降,维持在35-37 m2?g-1之间.纳米LiMnPO4的电化学性能变化趋势与比表面积基本一致,T1=130°C时合成的样品呈现最优的电化学性能,在0.1C倍率下放电容量达到129 mAh?g-1,在5C倍率时达到81 mAh?g-1,这表明LiMnPO4的比表面积是决定其电化学性能的关键因素之一.     

Ga-C3N4单原子催化剂高效光驱动CO2环加成

通过配位锚定策略制备了一种高Ga单原子负载量(质量分数8.42%)的C₃N₄纳米片(Ga-C₃N₄), 用于高效光驱动CO₂环加成反应. 研究结果表明, Ga-C₃N₄中Ga单原子和均匀分布的N位点可分别作为Lewis酸/碱位点来活化环氧化合物和CO₂. 此外, Ga-C₃N₄具有优异的半导体特性, 在光照下产生的光生电子可以显著加快环氧化合物的开环速率, 即提升决速步骤的反应效率. 通过多功能协同, Ga-C₃N₄在光照下实现了CO₂到环状碳酸酯的高效催化转化.     

Ab initio studies on n-type and p-type Li4Ti5O12

This paper studies the structure and electronic properties of Li4Ti5O12, as anode material for lithium ion batteries, from first principles calculations. The results suggest that there are two kinds of unit cell of Li4Ti5O12: n-type and p-type. The two unit cells have different structures and electronic properties:the n-type with two 16d site Li ions is metallic by electron, while the p-type with three 16d Li ions is metallic by hole. However, the Li4Ti5O12 is an insulator. It is very interesting that one n-type cell and two p-type cells constitute one Li4Ti5O12 supercell which is insulating. The results show that the intercalation potential obtained with a p-type unit cell with one additional electron is quite close to the experimental value of 1.5 V.     

First-principles investigation of the electronic structure and magnetism of eskolaite

The electronic structure and magnetism of eskolaite are studied by using first-principles calculations where the on-site Coulomb interaction and the exchange interaction are taken into account and the LSDA+U method is used. The calculated energies of magnetic configurations are very well fitted by the Heisenberg Hamiltonian with interactions in five neighbour shells; interaction with two nearest neighbours is found to be dominant. The N′eel temperature is calculated in the spin-3/2 pair-cluster approximation. It is found that the measurements are in good agreement with the calculations of lattice parameters, density of states, band gap, local magnetic moment, and the N′eel temperature for the values of U and J that are close to those obtained within the constrained occupation method. The band gap is of the Mott-Hubbard type.